In this paper, we investigate n-Jordan * -homomorphisms in C *algebras associated with the following functional inequalityWe moreover prove the superstability and the Hyers-Ulam stability of n-Jordan * -homomorphisms in C * -algebras associated with the following functional equation INTRODUCTION AND PRELIMINARIESLet A,B be complex algebras. A C-linear mapping h : A → B is called an n-Jordan homomorphism if h(a n ) = h(a) n for all a ∈ A. The concept of n-Jordan homomorphisms was studied for complex algebras by Eshaghi Gordji et al. [3] (see also [4,9]).In this paper, assume that n is an integer greater than 1.Definition 1.1. ([10]). Let A, B be complex algebras. A C-linear mapping h :for all a ∈ A.

The study of entropies of hypergroups in scientific disciplines such as chemistry, physics, geometry and coding theory helps us to calculate the chaos of the scientific processes of phenomena. In this respect, different entropies on hypergroups have been defined and their systemic properties have been investigated. This paper introduces the notion of hypernormed entropy on topological hypernormed hypergroups and provides some interesting examples. The study investigates the fundamental properties of this entropy such as invariance under conjugation, invariance under inversion, the logarithmic law, monotonicity for subflows and continuity for direct limits.

Using fixed point method, we prove the fuzzy version of the Hyers

In this paper, we investigate the superstability and the Hyers-Ulam stability of n-Jordan * -derivations on C * -algebras and JC * -algebras. MSC: Primary 17C65; 39B52; 39B72; 46L05

It is well-known that BL-algebras provide an algebraic language for logic, and play a very decisive role in the development of this theory. The present paper aims to study the entropy of a partition in a product BL-algebra. We define the entropy of a partition in an arbitrary product BL-algebra and study its properties. Finally, we investigate the effect of partition entropy on the product of BL-algebras. 2010 Mathematics Subject Classification. Primary 03G10, 03G25, 37A35, 54C70.